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The theory of successor with an extra predicate

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References

  1. Büchi, J.R.: On a decision method in restricted second order arithmetic. In: Proc. Int. Congr. Logic, Method. and Philos. Sci. 1960, 1–11. Stanford University Press 1962

  2. Büchi, J.R., Landweber, L.H.: Definability in the monadic second-order theory of successor. J. Symb. Logic34, 166–170 (1969)

    Google Scholar 

  3. Elgot, C.C., Rabin, M.O.: Decidability and undecidability of extensions of second (first) order theories of (generalized) successor. J. Symb. Logic31, 169–181 (1966)

    Google Scholar 

  4. Flum, J.: First order logic and its extensions. In: Logic Conference Kiel 1974, 248–310. Lecture Notes in Mathematics 499. Berlin, Heidelberg, New York: Springer 1975

    Google Scholar 

  5. Hanf, W.P.: Model-theoretic methods in the study of elementary logic. In: The theory of models, 132–145. Amsterdam: North-Holland 1965

    Google Scholar 

  6. Rogers, H., Jr.: Theory of recursive functions and effective computability. New York: McGraw-Hill 1967

    Google Scholar 

  7. Siefkes, D.: Decidable extensions of monadic second order successor arithmetic. In: Automatentheorie und formale Sprachen, 441–472. Mannheim: Bibliogr. Inst. 1969

    Google Scholar 

  8. Siefkes, D.: Undecidable extensions of monadic second order successor arithmetic. Z. f. Math. Logik und Grundlagen d. Math.17, 385–394 (1971)

    Google Scholar 

  9. Thomas, W.: Das Entscheidungsproblem für einige Erweiterungen der Nachfolger-Arithmetik. Dissertation. Universität Freiburg 1975

  10. Thomas, W.: A note on undecidable extensions of monadic second order successor arithmetic. Arch. math. Logik17, 43–44 (1975)

    Google Scholar 

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Thomas, W. The theory of successor with an extra predicate. Math. Ann. 237, 121–132 (1978). https://doi.org/10.1007/BF01351676

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